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On the performance of algorithms for the minimization of โ„“ <sub>1</sub> -penalized functionals

On the performance of algorithms for the minimization of โ„“ <sub>1</sub> -penalized functionals

The problem of assessing the performance of algorithms used for the minimization of an โ„“1-penalized least-squares functional, for a range of penalty parameters, is investigated. A criterion that uses the idea of 'approximation isochrones' is introduced. Five different iterative minimization algorithms are tested and compared, as well as two warm-start โ€ฆ